Liouville-type theorems for some classes of Riemannian almost product manifolds and for special mappings of Riemannian manifolds

摘要

In the present paper we prove Liouville-type theorems: non-existence theorems for some complete Riemannian almost product manifolds and special mappings of complete Riemannian manifolds which generalize similar results for compact manifolds. (C) 2017 Published by Elsevier B.V.